A three-dimensional inverse gravimetry problem for ice with snow caps
Isakov, Victor, 1947-
MetadataShow full item record
Isakov, Victor; Leung, Shingyu; Qian, Jianliang. 2013. A three-dimensional inverse gravimetry problem for ice with snow caps. Inverse Problems and Imaging, v.7:no.2:523-544
We propose a model for the gravitational field of a floating iceberg D with snow on its top. The inverse problem of interest in geophysics is to find D and snow thickness g on its known (visible) top from remote measurements of derivatives of the gravitational potential. By modifying the Novikov's orthogonality method we prove uniqueness of recovering D and g for the inverse problem. We design and test two algorithms for finding D and g. One is based on a standard regularized minimization of a misfit functional. The second one applies the level set method to our problem. Numerical examples validate the theory and demonstrate effectiveness of the proposed algorithms.
Click on the DOI link to access the article (may not be free).